Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 743/509, 668/555, 649/282 quickly i.e. 322114276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 743/509, 668/555, 649/282 is 322114276.
LCM(743/509, 668/555, 649/282) = 322114276
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 743/509,668/555,649/282
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 743,668,649
Least Common Multiple of Numerators i.e. LCM of 743,668,649 is 322114276.
GCF of Denominators means GCF of 509,555,282 as per the given fractions.
GCF of 509,555,282 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 743,668,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 322114276
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 743,668,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,668,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,668,649) x common factors =1 x 1 = 1
LCM(743,668,649) = ( 743 × 668 × 649 ) / 1
LCM(743,668,649) = 322114276 / 1
LCM(743,668,649) = 322114276
Lets's calculate GCF of 509,555,282
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 322114276/1
Therefore the LCM of Fractions 743/509,668/555,649/282 is 322114276
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 509,555,282 . The biggest common factor number is the GCF number.
So the greatest common factor 509,555,282 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 743/509, 668/555, 649/282?
Answer: LCM of Numerators as per given numbers 743/509, 668/555, 649/282 is
LCM of Numerators i.e. for 743,668,649 is 322114276
GCF of denominators i.e. for 509,555,282 is 1.
Thus, LCM of Fractions is 322114276.Finally, LCM of Fractions for 743/509, 668/555, 649/282 is 322114276.